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EQUIVARIANT PRINCIPAL BUNDLES OVER SPHERES AND COHOMOGENEITY ONE MANIFOLDS

Published online by Cambridge University Press:  28 January 2003

IAN HAMBLETON  and
JEAN-CLAUDE HAUSMANN
IAN HAMBLETON
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, ON L8S 4K1, Canada. [email protected]
JEAN-CLAUDE HAUSMANN
Affiliation:
Section de Mathématiques, Université de Genève, B.P. 240, CH-1211 Genève 24, Switzerland. [email protected]
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Abstract

We classify smooth ${\rm SO}(n)$-equivariant principal bundles over $S^n$ in terms of their isotropy representations over the north and south poles. This is an example of a general result classifying equivariant $(\Pi, G)$-bundles over manifolds with cohomogeneity 1.

2000 Mathematical Subject Classification: 55R91.

Keywords

equivariant fibre bundles
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 86 , Issue 1 , January 2003 , pp. 250 - 272
Copyright
2003 London Mathematical Society

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